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ddd [48]
2 years ago
8

Find the measure of the indicated angle to the nearest degree

Mathematics
1 answer:
shutvik [7]2 years ago
7 0

\cos \theta =\dfrac{18}{23}\\\\\implies \theta = \cos^{-1}\left(\dfrac{18}{23} \right)=38.5^{\circ} \approx 39^{\circ}

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kupik [55]

Answer:

k = ⅕  

Step-by-step explanation:

The slope-intercept equation for a straight line is

y = mx + b, where

m = the slope and

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Data:

(3,4)     = a point on the line

(3k,0)   = x-intercept

(0,-5k) = y-intercept

Calculations:

1. Slope

m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃

This makes the equation

y = ⁵/₃x - 5k

2. k

Insert the value of the known point: (3,4)

4 = (⁵/₃)(3) - 5k

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The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively .

 

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IrinaVladis [17]

Answer:

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Step-by-step explanation:

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